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Finding the Third Proportional to 3,899,426.81 and 6,069,838.69

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Solution

The third proportional to 3,899,426.81 and 6,069,838.69 is: 9,448,296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899,426.81 : 6,069,838.69 = 6,069,838.69 : x
  2. Step 2: Convert to fraction form
    3,899,426.81/6,069,838.69 = 6,069,838.69/x
  3. Step 3: Cross multiply
    3,899,426.81x = 6,069,838.69 × 6,069,838.69
  4. Step 4: Simplify right side
    3,899,426.81x = 36,842,941,692,271.72
  5. Step 5: Solve for x
    x = 36,842,941,692,271.72/3,899,426.81
  6. Step 6: Final answer
    x = 9,448,296.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.